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Finding the Fourth Proportional to 451.71, 677.42 and 177.72

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Solution

The fourth proportional to 451.71, 677.42 and 177.72 is: 266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 677.42 = 177.72 : x
  2. Step 2: Convert to fraction form
    451.71/677.42 = 177.72/x
  3. Step 3: Cross multiply
    451.71x = 677.42 × 177.72
  4. Step 4: Simplify right side
    451.71x = 120,390.19
  5. Step 5: Solve for x
    x = 120,390.19/451.71
  6. Step 6: Final answer
    x = 266.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.